Research interests

The main directions of my research are various aspects of conformal field theory and holographic correspondence, as well as black hole physics in this context. One of the directions in this area is the description of the dynamics of quantum information (entanglement entropy, mutual information, etc.) by methods of conformal field theory and holographic correspondence. For example, I have recently constructed a conformal field theory showing deterministic chaos in entanglement entropy, and also obtained a number of other results on the description of quantum chaos and quantum complexity by holographic methods (suppression of chaos for a wide class of quantum systems, the relationship of chaos with physical quantities in QCD, growth of quantum complexity of local operators). In the field of black hole physics and the information paradox, I have investigated various aspects of resolving this paradox using the recently discovered paradigm of entanglement islands. The absence of such islands for a wide class of black holes (and, consequently, the presence of a paradox) was shown, as well as the presence of a new effect of entanglement shadows.